and given, line ⇒2x+y=1. ∵ Equation of any tangent to the parabola having slope mis y=mx+3∕2m[∵a=3∕2] Slope of line 2x+y=1 is m1=−2 ∵ Tangent is perpendicular to this line, ∴ Slope of tangent =m2=−
1
m1
=
1
2
∴ Equation of tangent will be y=
1
2
x+
3
2
×2 ⇒y=
x
2
+3 or 2y=x+6 or x−2y+6=0 Clearly, on putting the coordinates of point (5,4), the equation of tangent is not satisfie(d) ∴ Point (5,4) does not lie on this tangent.